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Finding the Third Proportional to 98,724.75 and 151,778.25

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Solution

The third proportional to 98,724.75 and 151,778.25 is: 233,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,724.75 : 151,778.25 = 151,778.25 : x
  2. Step 2: Convert to fraction form
    98,724.75/151,778.25 = 151,778.25/x
  3. Step 3: Cross multiply
    98,724.75x = 151,778.25 × 151,778.25
  4. Step 4: Simplify right side
    98,724.75x = 23,036,637,173.06
  5. Step 5: Solve for x
    x = 23,036,637,173.06/98,724.75
  6. Step 6: Final answer
    x = 233,342.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.